New Improvement Of The Differential Formalism For High-Modulated Gratings

Patrick Vincent

doi:10.1117/12.965649

10 February 1981 New Improvement Of The Differential Formalism For High-Modulated Gratings

Patrick Vincent

Proceedings Volume 0240, Periodic Structures, Gratings, Moire Patterns, and Diffraction Phenomena I; (1981) https://doi.org/10.1117/12.965649
Event: 24th Annual Technical Symposium, 1980, San Diego, United States

Abstract

The differential method used to compute the field diffracted by a grating is based on a shooting method which requires the integration of a set ordinary differential equation from the bottom up to the top of the grooves. Numerical instabilities appearing for dielectric gratings with grooves deeper than the grating period are reduced if a formulation using two simultaneous counter-running numerical step-by-step integrations is used. Such a formulation is devised here for the TE, TM and general (conical diffraction) cases. Numerical examples are given to demonstrate the improvement of the method.

Citation Download Citation

Patrick Vincent "New Improvement Of The Differential Formalism For High-Modulated Gratings", Proc. SPIE 0240, Periodic Structures, Gratings, Moire Patterns, and Diffraction Phenomena I, (10 February 1981); https://doi.org/10.1117/12.965649

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